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Low-Density Ferromagnetism in the Hubbard Model |
| AN Jin1;GONG Chang-De2,1 |
| 1National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093
2Chinese Center of Advanced Science and Technology (World Laboratory),P.O. Box 8730, Beijing 100080
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| Cite this article: |
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AN Jin, GONG Chang-De 2001 Chin. Phys. Lett. 18 109-110 |
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Abstract We study analytically the stability of the saturated ferromagnetic ground state (the Nagaoka state) of the Hubbard model in the low electron density limit with the mean-field approach. We find that the critical Uc is just 4πt, where t is the hopping integral between the nearest neighbours, i.e., when U is larger than 4πt,the paramagnetic state is unstable with respect to the ferromagnetic state, and vice versa.
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| Keywords:
75.30.Kz
71.10.Fd
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Published: 01 January 2001
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| PACS: |
75.30.Kz
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(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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